Physics Fundamentals
Physics Fundamentals
2nd Edition
ISBN: 9780971313453
Author: Vincent P. Coletta
Publisher: PHYSICS CURRICULUM+INSTRUCT.INC.
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Chapter 4, Problem 34P
To determine

To Find: The value of θandw .

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(a) Show that the rate of change of the free-fall acceleration with vertical position near the Earth's surface is dg 2GM 3--5 dr RE³ This rate of change with position is called a gradient. (b) Assuming his small in comparison to the radius of the Earth, show that the difference in free-fall acceleration between two points separated by vertical distance h is |Agl = 2GMEh RE 3 (c) Evaluate this difference for h = 41.25 m, a typical height for a fifteen-story building. (Enter your answer in m/s².) m/s²
(a) Show that the rate of change of the free-fall acceleration with vertical position near the Earth's surface is dg dr 2GM RE³ This rate of change with position is called a gradient. (Submit a file with a maximum size of 1 MB.) Choose File No file chosen (b) Assuming his small in comparison to the radius of the Earth, show that the difference in free-fall acceleration between two points separated by vertical distance h is 2GM Eh |Ag❘ = RE (Submit a file with a maximum size of 1 MB.) Choose File No file chosen (c) Evaluate this difference for h = 41.25 m, a typical height for a fifteen-story building. (Enter your answer in m/s².) m/s²
68 Two small spaceships, each with mass m = 2000 kg, are in the circular Earth orbit of Fig. 13-50, at an altitude h of 400 km. Igor, the commander of one of the ships, arrives at any fixed point in the orbit 90 s ahead of Picard, the commander of the other ship. What are the (a) period T, and (b) speed Vo of the ships? At point P in Fig. 13-50, Picard fires an instantaneous R M burst in the forward direction, re- ducing his ship's speed by 1.00%. After this burst, he follows the el- liptical orbit shown dashed in the figure. What are the (c) kinetic en- ergy and (d) potential energy of his ship immediately after the burst? In Picard's new elliptical orbit, what are (e) the total energy E, (f) the semimajor axis a, and (g) the orbital period T? (h) How much earlier than Igor will Picard return to P? Fig. 13-50 Problem 68.
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